Algebraic transfer and action of linear groups on mod 2 divided powers

Tran Ngoc Nam[1]

  • [1] Vietnam National University Department of Mathematics 334 Nguyên Trãi Street Hanoi (Vietnam)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 5, page 1785-1837
  • ISSN: 0373-0956

Abstract

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We compute the dimension of an algebra with divided powers viewed as a representation of the general linear group, then compute the image of the algebraic transfer in generic degrees, and determine the indecomposable elements of even degree in the polynomial algebra in four variables viewed as a module over the Steenrod algebra.

How to cite

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Nam, Tran Ngoc. "Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2." Annales de l’institut Fourier 58.5 (2008): 1785-1837. <http://eudml.org/doc/10363>.

@article{Nam2008,
abstract = {On détermine la dimension d’une représentation du groupe linéaire définie par un sous-espace vectoriel de l’algèbre à puissances divisées, puis on explicite l’image du transfert algébrique en degré générique et celle du transfert algébrique quadruple, et finalement on identifie les indécomposables de degré pair de l’algèbre polynomiale à quatre variables, vue comme module sur l’algèbre de Steenrod.},
affiliation = {Vietnam National University Department of Mathematics 334 Nguyên Trãi Street Hanoi (Vietnam)},
author = {Nam, Tran Ngoc},
journal = {Annales de l’institut Fourier},
keywords = {Steenrod algebra; linear groups; divided powers},
language = {fre},
number = {5},
pages = {1785-1837},
publisher = {Association des Annales de l’institut Fourier},
title = {Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2},
url = {http://eudml.org/doc/10363},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Nam, Tran Ngoc
TI - Transfert algébrique et action du groupe linéaire sur les puissances divisées modulo 2
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 5
SP - 1785
EP - 1837
AB - On détermine la dimension d’une représentation du groupe linéaire définie par un sous-espace vectoriel de l’algèbre à puissances divisées, puis on explicite l’image du transfert algébrique en degré générique et celle du transfert algébrique quadruple, et finalement on identifie les indécomposables de degré pair de l’algèbre polynomiale à quatre variables, vue comme module sur l’algèbre de Steenrod.
LA - fre
KW - Steenrod algebra; linear groups; divided powers
UR - http://eudml.org/doc/10363
ER -

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